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NURMS are used in commercial 3D packages such as Autodesk 3ds Max to perform mesh smoothing operations. The mesh smooth modifier in 3ds Max operates by applying this algorithm to a low-polygon mesh and creates a high-polygon smoothed mesh. The new mesh can be dynamically manipulated by the low-polygon mesh to achieve the desired results.
NURBS have the ability to exactly describe circles. Here, the black triangle is the control polygon of a NURBS curve (shown at w=1). The Blue dotted line shows the corresponding control polygon of a B-spline curve in 3D homogeneous coordinates, formed by multiplying the NURBS by the control points by the corresponding weights. The blue ...
A polygon mesh of a dolphin. In 3D computer graphics, polygonal modeling is an approach for modeling objects by representing or approximating their surfaces using polygon meshes. Polygonal modeling is well suited to scanline rendering and is therefore the method of choice for real-time computer graphics.
Design of this type of phantom is realized by Non-Uniform Rational B-Spline (NURBS) method or polygonal mesh method, which are usually collectively called BREP methods. Compared to the voxel phantoms, BREP phantoms are better suited for geometry deformation and adjustment, because a larger set of computerized operations are available, such as ...
The library centered on the creation of animated single mesh avatars for the Blaxxun 3d multi-user platform. It allowed the user to create smooth shaped triangle meshes and join different meshes together with tangent matching surfaces at the joining edges using a C++ compiler . [ 11 ]
An alternative to polygons, it gives a smoothed out surface that eliminates the straight edges of a polygon model. NURBS is a mathematically exact representation of freeform surfaces like those used for car bodies and ship hulls, which can be exactly reproduced at any resolution whenever needed. With NURBS, a smooth sphere can be created with ...
However, rather than complex data structures and NURBS, a simple surface mesh of vertices and edges is used. Surface meshes can be structured (as in triangular meshes in STL files or quad meshes with horizontal and vertical rings of quadrilaterals), or unstructured meshes with randomly grouped triangles and higher level polygons.
Irregular three-dimensional surfaces and solids, are usually defined as a connected set of polygons (e.g., a polygon mesh) or as parametric surfaces (e.g., NURBS). Fractals, often defined as an iterated function system. In many vector datasets, each shape can be combined with a set of properties.